Answer:
The vertex of this parabola is 
Step-by-step explanation:
One way of finding the x-coordinate of the vertex of a parabola is by using the equation 
From the function 
, we can see that
This means that
So, the x-value of the vertex is -2. Now, we can plug this x-value into the function to find the y-coordinate of the point.
Thus, the vertex of this parabola is
Answer:
B. hyperbola, 45°
Step-by-step explanation:
This is rotation in quadratic equations
Perform elimination of xy term
Ax² +B xy+Cy²+Dx+Ey+F=0
Rotation of axes of the coordinates through angle θ to satisfy
Cot 2θ =(A-C)/B
But B≠ 0 and A=C=0
Answer will be hyperbola, 45°
Answer:
rotated
Step-by-step explanation:
The triangle MNO has already been dilated and therefore, the answers were left to 3: rotated, reflected and translated. Triangle YHQ is not an image of triangle MNO. Thus, leaving only 2 choices: rotated and translated. If triangle MNO was translated, triangle YHQ was supposed to be in the same position as triangle MNO is and leaving only 1 option which is rotated.
8 sin2x - 10sinxcosx = 8*2sinXcosX-10sinXcosX = 16sinXcosX - 10sinXcosX = 6sinXcosX=3sin2x
